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(Solved): Assume \( f^{\prime} \) is given by the graph below. Suppose \( f \) is continuous and that \( f(5 ...



Assume \( f^{\prime} \) is given by the graph below. Suppose \( f \) is continuous and that \( f(5)=0 \).
(Click on the graph

Assume \( f^{\prime} \) is given by the graph below. Suppose \( f \) is continuous and that \( f(5)=0 \). (Click on the graph for a larger version.) Sketch, on a sheet of work paper, an accurate graph of \( f \), and use it to find each of \( f(0)= \) and \[ f(7)= \] Then find the value of the integral: \[ \int_{0}^{7} f^{\prime}(x) d x= \]


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Solution: Given, The graph of f'(x) and f(5)=0 Using the fundamental theorem, We can write f(5)?f(0)=?05f
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